A Necessary and Sufficient Condition on the Weyl Manifolds Admitting a Semi Symmetric Non-Metric Connection to be S-Concircular

TL;DR

This paper investigates the conditions under which semi symmetric non-metric connections on Weyl manifolds are S-concircular, focusing on their curvature tensors and establishing necessary and sufficient criteria.

Contribution

It provides a new necessary and sufficient condition characterizing semi symmetric non-metric connections as S-concircular on Weyl manifolds.

Findings

Derived the concircular curvature tensor for semi symmetric non-metric connections

Established a necessary and sufficient condition for S-concircularity

Enhanced understanding of geometric structures on Weyl manifolds

Abstract

The object of this paper is to obtain the concircular curvature tensor of the semi symmetric non-metric connection on the Weyl manifold and to give a necessary and sufficient condition for a semi symmetric non-metric connection to be S-concircular.